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Finding the Fourth Proportional to 6,671.87, 9,994.13 and 3,744.02

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Solution

The fourth proportional to 6,671.87, 9,994.13 and 3,744.02 is: 5,608.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,671.87 : 9,994.13 = 3,744.02 : x
  2. Step 2: Convert to fraction form
    6,671.87/9,994.13 = 3,744.02/x
  3. Step 3: Cross multiply
    6,671.87x = 9,994.13 × 3,744.02
  4. Step 4: Simplify right side
    6,671.87x = 37,418,263.97
  5. Step 5: Solve for x
    x = 37,418,263.97/6,671.87
  6. Step 6: Final answer
    x = 5,608.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.